2-universal positive definite integral quinary diagonal quadratic forms
type: Item
instance of: scholarly article
title: 2-universal positive definite integral quinary diagonal quadratic forms
zbMATH Open document ID: 0904.11011
DOI: 10.1023/A:1009797524602
author: S. H. Smith
published in: The Ramanujan Journal
publication date: 1999-01-19T00:00:00Z
review text: The authors determine all positive definite integral quinary diagonal quadratic forms that are 2-universal, i.e. that represent all positive definite integral binary quadratic forms. These are the forms: \(\langle 1,1,1,1,1 \rangle\), \(\langle 1,1,1,1,2 \rangle\), \(\langle 1,1,1,1,3\rangle\), \(\langle 1,1,1,2,2\rangle\), \(\langle 1,1,1,2,3\rangle\). It was already shown by \textit{M. Peters} [Acta Arith. 24, 157-164 (1973; Zbl 0258.12001)] (see Lemma p. 158) that these five forms are 2-universal.
Mathematics Subject Classification ID: 11E20
Mathematics Subject Classification ID: 11E25
Mathematics Subject Classification ID: 11E41
Mathematics Subject Classification ID: 11E95
zbMATH DE Number: 1185659
zbMATH Keywords: quinary \(\mathbb{Z}\)-lattices
zbMATH Keywords: positive definite integral quinary diagonal quadratic forms
zbMATH Keywords: 2-universal
reviewed by: Meinhard Peters
MaRDI profile type: Publication
full work available at URL: a:1009797524602
OpenAlex ID: W1588044508
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description: scientific article; zbMATH DE number 1185659